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+-- requires cabal install --lib megaparsec parser-combinators
+module Main (main) where
+
+import Control.Applicative.Permutations
+import Control.Monad (void, when)
+import Data.Char qualified as C
+import Data.Either
+import Data.Functor
+import Data.List qualified as L
+import Data.Map qualified as M
+import Data.Maybe
+import Data.Set qualified as S
+import Data.Vector qualified as V
+import Data.Void (Void)
+import Text.Megaparsec
+import Text.Megaparsec.Char
+
+import Debug.Trace
+
+exampleExpectedOutput = 4
+
+data Direction = N | S | E | W deriving (Eq, Show)
+data Tile = NS | NE | NW | EW | ES | WS | Floor | Start deriving (Eq, Show)
+type Line = V.Vector Tile
+type Input = V.Vector Line
+
+type Parser = Parsec Void String
+
+parseTile :: Parser Tile
+parseTile = char '|' $> NS
+ <|> char 'L' $> NE
+ <|> char 'J' $> NW
+ <|> char '-' $> EW
+ <|> char 'F' $> ES
+ <|> char '7' $> WS
+ <|> char '.' $> Floor
+ <|> char 'S' $> Start
+
+parseLine :: Parser Line
+parseLine = do
+ line <- some parseTile <* eol
+ return $ V.generate (length line) (line !!)
+
+parseInput' :: Parser Input
+parseInput' = do
+ line <- some parseLine <* eof
+ return $ V.generate (length line) (line !!)
+
+parseInput :: String -> IO Input
+parseInput filename = do
+ input <- readFile filename
+ case runParser parseInput' filename input of
+ Left bundle -> error $ errorBundlePretty bundle
+ Right input' -> return input'
+
+compatible :: Tile -> Direction -> Bool
+compatible NS N = True
+compatible NS S = True
+compatible NE N = True
+compatible NE E = True
+compatible NW N = True
+compatible NW W = True
+compatible EW E = True
+compatible EW W = True
+compatible ES E = True
+compatible ES S = True
+compatible WS W = True
+compatible WS S = True
+compatible _ _ = False
+
+type Position = (Int, Int)
+type Heading = (Position, Direction)
+
+compute :: Input -> Int
+compute input = walk start 0 `div` 2
+ where
+ walk :: Heading -> Int -> Int
+ walk h i | tile (fst h) == Just Start = i+1
+ | otherwise = walk h' (i+1)
+ where
+ h' = step h
+ step :: Heading -> Heading
+ step (p@(x, y), N) | tile p == Just NS = ((x, y-1), N)
+ | tile p == Just ES = ((x+1, y), E)
+ | tile p == Just WS = ((x-1, y), W)
+ step (p@(x, y), S) | tile p == Just NS = ((x, y+1), S)
+ | tile p == Just NE = ((x+1, y), E)
+ | tile p == Just NW = ((x-1, y), W)
+ step (p@(x, y), E) | tile p == Just NW = ((x, y-1), N)
+ | tile p == Just EW = ((x+1, y), E)
+ | tile p == Just WS = ((x, y+1), S)
+ step (p@(x, y), W) | tile p == Just NE = ((x, y-1), N)
+ | tile p == Just EW = ((x-1, y), W)
+ | tile p == Just ES = ((x, y+1), S)
+ start = head $ catMaybes [startn, starte, starts, startw]
+ startn = nearStart (sx, sy-1) N
+ starts = nearStart (sx, sy+1) S
+ starte = nearStart (sx+1, sy) E
+ startw = nearStart (sx-1, sy) W
+ nearStart :: Position -> Direction -> Maybe Heading
+ nearStart p d = case tile p of
+ Just t -> if compatible t d then Just (p, d) else Nothing
+ Nothing -> Nothing
+ (sx, sy) = (x, y) -- start
+ where
+ hasNoStart :: Line -> Bool
+ hasNoStart = V.all (/= Start)
+ y = length $ V.takeWhile hasNoStart input
+ x = length $ V.takeWhile (/= Start) (input V.! y)
+ tile :: Position -> Maybe Tile
+ tile (x, y) = case input V.!? y of
+ Just line -> line V.!? x
+ Nothing -> Nothing
+
+main :: IO ()
+main = do
+ example <- parseInput "example"
+ let exampleOutput = compute example
+ when (exampleOutput /= exampleExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
+ example2 <- parseInput "example2"
+ let exampleOutput2 = compute example2
+ when (exampleOutput2 /= 8) (error $ "example failed: got " ++ show exampleOutput2 ++ " instead of " ++ show 8)
+ input <- parseInput "input"
+ print $ compute input